List

Advanced Problem Solving Module 20

Polar Bearings
problem

Polar Bearings

Age
16 to 18
Challenge level
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What on earth are polar coordinates, and why would you want to use them?
Maltese Cross
problem

Maltese Cross

Age
16 to 18
Challenge level
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Sketch the graph of $xy(x^2 - y^2) = x^2 + y^2$ consisting of four curves and a single point at the origin. Convert to polar form. Describe the symmetries of the graph.
Polar Flower
problem

Polar Flower

Age
16 to 18
Challenge level
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This polar equation is a quadratic. Plot the graph given by each factor to draw the flower.